Question

Question 90

Solve the following:

Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.

Answer 1

Let the third side of triangle be x m.
Then, two equal sides of triangle =(3x-4)m
Given, perimeter of triangle =55m
$\because x+3x-4+3x-4=55\Rightarrow 7x-8=55\Rightarrow 7x=55+8\Rightarrow 7x=63\Rightarrow x=\frac{63}{7}\therefore x=9$
Hence, the dimension of the triangle are 9m, $(3\times 9-4)$m and $(3\times 9-4)$m, i.e 9, (27-4), and (27-4)m, i.e. 9m, 23m, and 23m